Distinguish equations representing the circles and the conics; use the properties of a particular geometry to sketch the graph in using the rectangular or the polar coordinate system. Furthermore, to be able to write the equation and to solve application problems involving a particular geometry.
Grade 9 (Alternate) Mathematics III - Learning Modules for EASE Program of DepEdR Borres
Grade 9 (Alternate) Mathematics III - Learning Modules for EASE Program of DepEd
A compilation of Math III learning modules for EASE which can be alternate for Grade 9 Mathematics.
Free!
Pre-Calculus: Conics - Introduction to Conics and Determining & Graphing Circ...Myrrhtaire Castillo
This PowerPoint contains an introduction to conical sections: the conics formed from double-napped circular cone - the Parabola, Hyperbola, Circle, & Ellipse. It also contains the basic parts of Circle. Identifying the standard form of circle's radius and center. Graphing a circle from its standard form. Transforming General Equation of Circle to Standard Form and some of the special cases.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
How to Make a Field invisible in Odoo 17Celine George
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June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
3. Introduction (definition)
Circle: The set of all points
that are the same distance
(equidistant) from a fixed
point.
Center: the fixed points
Radius: a segment whose
endpoints are the center
and a point on the circle
4. You can write an
equation of a circle in a
coordinate plane if you
know its radius and the
coordinates of its
center.
5. Suppose the
radius is r and
the center is (h,
k). Let (x, y) be
any point on the
circle. The
distance between
(x, y) and (h, k) is
r, so you can use
the Distance
Formula.
6. 1. The equation of circle centered at (0,0) and with radius r
9. Proof How could we show how
, and are related?
(Hint: draw a right-angled triangle
inside your circle, with one vertex at
the origin and another at the
circumference)
10. 2. The equation of circle centered at (a,b) and with radius r
Now suppose we shift
the circle so it’s now
centred at (a,b). What’s
the equation now?
(Hint: What would the sides of this
right-angled triangle be now?)
18. Equations of Circle (Key Concept)
1) The standard form: (x - a)2
+ (y-b)2
= r2
2) The general form : x^2 + y^2 + Ax + By + C = 0, A ≠ 0, and B ≠ 0.
The centre of the circle is and the radius is
If any one of the following three sets of facts about a circle is known,
then the other two can be determined:
center (h, k) and radius r
19.
20. Definition of a Tangent
A line or line segment touching the circle at
one point.
26. As always, to find an
equation we need (i) a point
and (ii) the gradient.
Point: (4,2)
Gradient?
Gradient of radius is 𝟐/𝟒=𝟏/𝟐
Gradient of tangent =−𝟐
𝒚−𝟐=−𝟐(𝒙−𝟒)
𝒚=−𝟐𝒙+𝟏𝟎
27. Gradient of chord: −𝟒/𝟐=−𝟐
Midpoint of chord: (1,2)
Gradient of radius =𝟏/𝟐
Equation of radius:
𝒚−𝟐=𝟏/𝟐 (𝒙−𝟏)
If 𝒙=𝟔:
𝒚−𝟐=𝟏/𝟐 (𝟔−𝟏)
𝒚=𝟒.𝟓
28. Question 1: The sketch show point 𝑃
on a circle, centre C. The equation of
the tangent at P is 𝑦=13−2𝑥.
Work out the gradient of PC. 𝟏/𝟐
Work out the equation of the circle.
Equation of PC:
𝒚−𝟓=𝟏/𝟐 (𝒙−𝟒)
𝑪(𝟎,𝟑) → 𝒙^𝟐+(𝒚−𝟑)^𝟐=𝟐𝟎
31. Question 4: The sketch shows part of a circle, centre C, that
intersects the axes at points and .
(a)Explain why the centre of the circle lies on the line
Because is the midpoint of and the perpendicular
bisector of QR goes through the centre of the circle.
(b)Show that the line is the perpendicular bisector of the
line .
Midpoint of : (2,2). Gradient: . Therefore perp bis.:
(c)Work out the equation of the circle.
Centre: (7,7) Radius:
32. Question 1: The points and form a diameter of a circle. The point is
another point on the circle.
(a) Determine the gradient of the line .
(b) Hence determine the equation of the line .
(c) Hence, given that the point lies on this line, determine the value of .
Question 2: A line with equation is tangent to a circle at the point .
(a)Determine the equation of .
(b)Determine the value of .
(c) Hence determine the equation of the circle.
